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**Up:** Discussion and conclusions
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As with any inversion problem, the choice of regularization is important to impose
constraints of the admissible models. For the multiple matching problem, since
the character of both the primaries and the multiples is similar, it is best to
use the same regularization for estimating the primary and multiple non-stationary
filters. In an example like the ground-roll attenuation, where the character of the
signal and the noise is so different, it may be better to use different regularization
operator (or at least a different level of regularization ) for the
estimate of the two filter banks. We used the same regularization for the noise and the
signal in all of our examples.

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2007-10-24